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Theory of spinors and its applicatio...

Zhelnorovich, Vladimir A.

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Theory of spinors and its application in physics and mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Theory of spinors and its application in physics and mechanics/ by Vladimir A. Zhelnorovich.
作者:	Zhelnorovich, Vladimir A.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xvi, 392 p. :ill., digital ;24 cm.
內容註:	Spinors in Finite-Dimensional Euclidean Spaces -- Spinor Fields in a Riemannian Space -- Spinors in the Four-Dimensional Pseudo-Euclidean Space -- Spinors in Three-Dimensional Euclidean Spaces -- Tensor Forms of Differential Spinor Equations -- Exact Solutions of the Nonlinear Spinor Equations -- A. Relativistic Models of Spin Fluids in Electromagnetic Field -- B. Proper Bases and Invariant Internal Energy in the Theory of Electromagnetic Field -- C. The Bilinear Identities Connecting the Dirac Matrices -- Bibliography.
Contained By:	Springer eBooks
標題:	Spinor analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-27836-6
ISBN:	9783030278366

Theory of spinors and its application in physics and mechanics
Zhelnorovich, Vladimir A.

Theory of spinors and its application in physics and mechanics[electronic resource] /by Vladimir A. Zhelnorovich. - Cham :Springer International Publishing :2019. - xvi, 392 p. :ill., digital ;24 cm.

Spinors in Finite-Dimensional Euclidean Spaces -- Spinor Fields in a Riemannian Space -- Spinors in the Four-Dimensional Pseudo-Euclidean Space -- Spinors in Three-Dimensional Euclidean Spaces -- Tensor Forms of Differential Spinor Equations -- Exact Solutions of the Nonlinear Spinor Equations -- A. Relativistic Models of Spin Fluids in Electromagnetic Field -- B. Proper Bases and Invariant Internal Energy in the Theory of Electromagnetic Field -- C. The Bilinear Identities Connecting the Dirac Matrices -- Bibliography.

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein-Dirac equations, nonlinear Heisenberg's spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.

ISBN: 9783030278366

Standard No.: 10.1007/978-3-030-27836-6doiSubjects--Topical Terms:

540511
Spinor analysis.

LC Class. No.: QC20.7.S65 / Z445 2019

Dewey Class. No.: 515.63

Theory of spinors and its application in physics and mechanics
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100 1 $a Zhelnorovich, Vladimir A. $3 3454060
245 1 0 $a Theory of spinors and its application in physics and mechanics $h [electronic resource] / $c by Vladimir A. Zhelnorovich.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xvi, 392 p. : $b ill., digital ; $c 24 cm.
505 0 $a Spinors in Finite-Dimensional Euclidean Spaces -- Spinor Fields in a Riemannian Space -- Spinors in the Four-Dimensional Pseudo-Euclidean Space -- Spinors in Three-Dimensional Euclidean Spaces -- Tensor Forms of Differential Spinor Equations -- Exact Solutions of the Nonlinear Spinor Equations -- A. Relativistic Models of Spin Fluids in Electromagnetic Field -- B. Proper Bases and Invariant Internal Energy in the Theory of Electromagnetic Field -- C. The Bilinear Identities Connecting the Dirac Matrices -- Bibliography.
520 $a This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein-Dirac equations, nonlinear Heisenberg's spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.
650 0 $a Spinor analysis. $3 540511
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Cosmology. $3 531904
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Algebraic Geometry. $3 893861
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